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Simplifying 7x + 24 = -3x + -2(-7x + 2) Reorder the terms: 24 + 7x = -3x + -2(-7x + 2) Reorder the terms: 24 + 7x = -3x + -2(2 + -7x) 24 + 7x = -3x + (2 * -2 + -7x * -2) 24 + 7x = -3x + (-4 + 14x) Reorder the terms: 24 + 7x = -4 + -3x + 14x Combine like terms: -3x + 14x = 11x 24 + 7x = -4 + 11x Solving 24 + 7x = -4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 24 + 7x + -11x = -4 + 11x + -11x Combine like terms: 7x + -11x = -4x 24 + -4x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 24 + -4x = -4 + 0 24 + -4x = -4 Add '-24' to each side of the equation. 24 + -24 + -4x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = -4 + -24 -4x = -4 + -24 Combine like terms: -4 + -24 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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